지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Recently, Chung and Lee \cite{CL} introduced the notion of topological stability for a finitely generated group action, and proved a group action version of the Walters's stability theorem. In this paper, we introduce the concepts of continuous shadowing and continuous inverse shadowing of a finitely generated group action on a compact metric space $X$ with respect to various classes of admissible pseudo orbits and study the relationships between topological stability and continuous shadowing and continuous inverse shadowing property of group actions. Moreover, we introduce the notion of structural stability for a finitely generated group action, and we prove that an expansive action on a compact manifold is structurally stable if and only if it is continuous inverse shadowing.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
T. Ceccherini-Silberstein / 2010 / Cellular automata and groups, Springer Monographs in Mathematics / Springer-Verlag
N. -P. Chung / 2018 / Topological stability and pseudo-orbit tracing property of group actions / Proc. Amer. Math. Soc 146(3):1047~1057
R. M. Corless / 1995 / Approximate and real trajectories for generic dy-namical systems / J. Math. Anal. Appl 189(2):409~423
P. E. Kloeden / 1997 / Hyperbolic homeomorphisms and bishadowing / Ann. Polon. Math 65(2):171~177
K. Lee / 2003 / Continuous inverse shadowing and hyperbolicity / Bull. Austral. Math. Soc 67(1):15~26
N. -P. Chung / 2018 / Topological stability and pseudo-orbit tracing property of group actions / Proc. Amer. Math. Soc 146(3):1047~1057
R. M. Corless / 1995 / Approximate and real trajectories for generic dy-namical systems / J. Math. Anal. Appl 189(2):409~423
P. E. Kloeden / 1997 / Hyperbolic homeomorphisms and bishadowing / Ann. Polon. Math 65(2):171~177
K. Lee / 2003 / Continuous inverse shadowing and hyperbolicity / Bull. Austral. Math. Soc 67(1):15~26
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Topological stability and shadowing property for group actions on metric spaces
대한수학회지
2021 .01
-
Various shadowing properties for time varying maps
대한수학회보
2022 .03
-
SOME SHADOWING PROPERTIES OF THE SHIFTS ON THE INVERSE LIMIT SPACES
충청수학회지
2018 .01
-
VARIOUS SHADOWING PROPERTIES FOR INVERSE LIMIT SYSTEMS
충청수학회지
2016 .01
-
On the density of various shadowing properties
대한수학회논문집
2019 .01
-
Positively expansive maps and the limit shadowing properties
대한수학회지
2021 .01
-
HOMEOMORPHISMS WITH VARIOUS MEASURE SHADOWING
충청수학회지
2015 .01
-
PERSISTENT ACTIONS ON COMPACT METRIC SPACES
충청수학회지
2017 .01
-
NOTES ON THE EVENTUAL SHADOWING PROPERTY OF A CONTINUOUS MAP
충청수학회지
2017 .01
-
On strong exponential limit shadowing property
대한수학회논문집
2022 .10
-
DECOMPOSITION PROPERTY FOR C<sup>1</sup> GENERIC DIFFEOMORPHISMS
충청수학회지
2019 .01
-
ON THE AVERAGE SHADOWING PROPERTY IN LINEAR DYNAMICAL SYSTEMS
충청수학회지
2018 .01
-
Notes on finitely generated flat modules
대한수학회보
2020 .01
-
SHADOWING PROPERTY ON MULTI-VALUED DYNAMICAL SYSTEMS
충청수학회지
2016 .01
-
Persistence and pointwise topological stability for continuous maps of topological spaces
대한수학회보
2024 .07
-
SHADOWABLE POINTS FOR FINITELY GENERATED GROUP ACTIONS
충청수학회지
2018 .01
-
QUASI-ANOSOV DIFFEOMORPHISMS AND VARIOUS SHADOWING PROPERTIES
충청수학회지
2016 .01
-
Continuous orbit equivalences on self-similar groups
대한수학회보
2021 .01
-
Topological stability in hyperspace dynamical systems
대한수학회논문집
2020 .01
-
ENTROPY, POSITIVELY CONTINUUM-WISE EXPANSIVENESS AND SHADOWING
충청수학회지
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0